378413794059840 has 1792 divisors, whose sum is σ = 1691242404249600. Its totient is φ = 77364506419200.

The previous prime is 378413794059709. The next prime is 378413794059841. The reversal of 378413794059840 is 48950497314873.

378413794059840 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 137 + 9 + 405 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (378413794059841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40606690701 + ... + 40606700019.

Almost surely, 2^{378413794059840} is an apocalyptic number.

378413794059840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378413794059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845621202124800).

378413794059840 is an abundant number, since it is smaller than the sum of its proper divisors (1312828610189760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378413794059840 is a wasteful number, since it uses less digits than its factorization.

378413794059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 378413794059840 in words is "three hundred seventy-eight trillion, four hundred thirteen billion, seven hundred ninety-four million, fifty-nine thousand, eight hundred forty".